All you need to do is make sure that you’re connected to the same Game Center (for iOS) or Google Play (for Android) account as the one from the old device.
A pop-up will come up and ask you to choose the right progress.
Voila, you’ll then be able to get back to smashing those combos!
Keep in mind that you can only transfer the game progress from Android to Android and from iOS to iOS.
Wanna know why?